Quantum hair in electrodynamics and gravity

Quantum States of Topologically Massive Electrodynamics and Gravity

The free quantum states of topologically massive electrodynamics and gravity in 2+1 dimensions, are explicitly found. It is shown that in both theories the states are described by infrared-regular polarization tensors containing a regularization phase which depends on the spin. This is done by explicitly realizing the quantum algebra on a functional Hilbert space and by finding the Wightman fun...

Calculation of Kolmogorov Entropy in Cavity Quantum Electrodynamics

In this paper Kolomogorov entropy of a simulated cavity quantum electrodynamics in a multi-partite system consisting of eight quantum dots in interaction with one cavity mode has been estimated. It has been shown that the Kolmogorov Entropy monotonically increases with the increasing coupling strength, which is a sufficient condition for chaotic behavior under ultrastrong coupling regime. The a...

Quantum Electrodynamics in Graphene

Non-perturbative Aspects of Quantum Electrodynamics on Curved Space and Investigations in Matrix Gravity

This Dissertation is devoted to the detailed study of two major subjects. In the first part, we study non-perturbative aspects of quantum electrodynamics on Riemannian manifolds by using heat kernel asymptotic expansion techniques. Here, we established the existence of a new non-perturbative heat kernel asymptotic expansion for a Laplace type operator on homogeneous Abelian bundles with paralle...

Nonlinear electrodynamics in 3D gravity with torsion

We study exact solutions of nonlinear electrodynamics coupled to 3D gravity with torsion. We show that in any static and spherically symmetric configuration, at least one component of the electromagnetic field has to vanish. In the electric sector of the theory, we construct an exact solution, characterized by the azimuthal electric field. When the electromagnetic action is modified by a topolo...